This is a preview. Log in through your library . Abstract We prove the well-posedness of a system of balance laws inspired by [H. Holden and N. H. Risebro, SIAM J. Math. Anal., 51 (2019), pp.

Traffic congestion and its inherent stochasticity continue to challenge urban mobility worldwide. To address this, researchers have introduced a groundbreaking framework for modeling the Stochastic ...

This is a preview. Log in through your library . Abstract In this paper, we propose a simple fully discrete hybrid model for vehicular traffic flow, for which both the macroscopic and the microscopic ...

Vehicular traffic flow has been tackled by mathematicians, engineers and physicists alike. Mathematical approaches to study traffic are usually based on the speed, density and flow of vehicles on ...

The study of traffic flow dynamics and modelling represents a cornerstone of modern transport engineering, integrating theoretical formulations with practical applications to mitigate congestion, ...

Everyone hates traffic. Big cities in particular are plagued by an overabundance of vehicles, turning a simple crosstown jaunt into an odyssey during rush hour. Part of the problem is that traffic is ...